{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2012:UHMBWTK3AY2ZG4FKWZH6B3H2Y4","short_pith_number":"pith:UHMBWTK3","canonical_record":{"source":{"id":"1212.3399","kind":"arxiv","version":5},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.NT","submitted_at":"2012-12-14T06:43:35Z","cross_cats_sorted":["math.AG"],"title_canon_sha256":"41fac528854db520c60008df5c408ff7149792f4e82e473020614b5bce279103","abstract_canon_sha256":"976de0c40688ff8b5d3f669ad2a7c5701392145d1b52b460cd71dc2a6c75413b"},"schema_version":"1.0"},"canonical_sha256":"a1d81b4d5b06359370aab64fe0ecfac70547d47030878fb41e57062226b913dd","source":{"kind":"arxiv","id":"1212.3399","version":5},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1212.3399","created_at":"2026-05-18T02:54:47Z"},{"alias_kind":"arxiv_version","alias_value":"1212.3399v5","created_at":"2026-05-18T02:54:47Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1212.3399","created_at":"2026-05-18T02:54:47Z"},{"alias_kind":"pith_short_12","alias_value":"UHMBWTK3AY2Z","created_at":"2026-05-18T12:27:23Z"},{"alias_kind":"pith_short_16","alias_value":"UHMBWTK3AY2ZG4FK","created_at":"2026-05-18T12:27:23Z"},{"alias_kind":"pith_short_8","alias_value":"UHMBWTK3","created_at":"2026-05-18T12:27:23Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2012:UHMBWTK3AY2ZG4FKWZH6B3H2Y4","target":"record","payload":{"canonical_record":{"source":{"id":"1212.3399","kind":"arxiv","version":5},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.NT","submitted_at":"2012-12-14T06:43:35Z","cross_cats_sorted":["math.AG"],"title_canon_sha256":"41fac528854db520c60008df5c408ff7149792f4e82e473020614b5bce279103","abstract_canon_sha256":"976de0c40688ff8b5d3f669ad2a7c5701392145d1b52b460cd71dc2a6c75413b"},"schema_version":"1.0"},"canonical_sha256":"a1d81b4d5b06359370aab64fe0ecfac70547d47030878fb41e57062226b913dd","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T02:54:47.168892Z","signature_b64":"F+mVlSUm1UGvmnBwvNoSlH7S8VYLDFWs2gtHULMV6nzkM3rLhDUrjRDIBlpE9CZ28I3rxG5j11UN8lg7jiwbAA==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"a1d81b4d5b06359370aab64fe0ecfac70547d47030878fb41e57062226b913dd","last_reissued_at":"2026-05-18T02:54:47.168514Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T02:54:47.168514Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"1212.3399","source_version":5,"attestation_state":"computed"},"signer":{"signer_id":"pith.science","signer_type":"pith_registry","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"created_at":"2026-05-18T02:54:47Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"tVaiaiWOPDVQV+VfT7UuL/v/mswnlbQRmBSnSjj6sCDEju7v+gF9qYYUYYkNR+05Z+l+m9L+raiMk3yejUVaDA==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-07T07:52:21.895760Z"},"content_sha256":"9c670b68b941fb6b0ca62656e92421e0ff03f968cd17fe62bc399cb744e2fcdf","schema_version":"1.0","event_id":"sha256:9c670b68b941fb6b0ca62656e92421e0ff03f968cd17fe62bc399cb744e2fcdf"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2012:UHMBWTK3AY2ZG4FKWZH6B3H2Y4","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Automorphy of Calabi-Yau threefolds of Borcea-Voisin type over Q","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["math.AG"],"primary_cat":"math.NT","authors_text":"Noriko Yui, Ron Livne, Yasuhiro Goto","submitted_at":"2012-12-14T06:43:35Z","abstract_excerpt":"We consider Calabi-Yau threefolds of Borcea-Voisin type over Q. They are constructed from products of K3 surfaces and elliptic curves. We use concrete K3 surfaces and discuss the automorphy of the Galois representations associated to the Calabi-Yau threefolds. The moduli spaces of these Calabi-Yau threefolds are Shimura varieties. Our result shows the existence of a CM point in the moduli space. We also consider mirror symmetry of Calabi-Yau threefolds."},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1212.3399","kind":"arxiv","version":5},"verdict":{"id":null,"model_set":{},"created_at":null,"strongest_claim":"","one_line_summary":"","pipeline_version":null,"weakest_assumption":"","pith_extraction_headline":""},"references":{"count":0,"sample":[],"resolved_work":0,"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57","internal_anchors":0},"formal_canon":{"evidence_count":0,"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"author_claims":{"count":0,"strong_count":0,"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"builder_version":"pith-number-builder-2026-05-17-v1"},"verdict_id":null},"signer":{"signer_id":"pith.science","signer_type":"pith_registry","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"created_at":"2026-05-18T02:54:47Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"R45hNw4P2Wl1nhVwL963ZnFD/OKSGVWqc3vKdkYkFIozRRCH2B2Qwt9GxV2AZDiRw6i2D1D6BdbWywdRFbu4BQ==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-07T07:52:21.896300Z"},"content_sha256":"dc72722d0c53137a1db7d7673d1667fbe9fc754dd0a86ca897db430df42e98ac","schema_version":"1.0","event_id":"sha256:dc72722d0c53137a1db7d7673d1667fbe9fc754dd0a86ca897db430df42e98ac"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/UHMBWTK3AY2ZG4FKWZH6B3H2Y4/bundle.json","state_url":"https://pith.science/pith/UHMBWTK3AY2ZG4FKWZH6B3H2Y4/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/UHMBWTK3AY2ZG4FKWZH6B3H2Y4/bundle.json","status":"primary"}],"public_keys":[{"key_id":"pith-v1-2026-05","algorithm":"ed25519","format":"raw","public_key_b64":"stVStoiQhXFxp4s2pdzPNoqVNBMojDU/fJ2db5S3CbM=","public_key_hex":"b2d552b68890857171a78b36a5dccf368a953413288c353f7c9d9d6f94b709b3","fingerprint_sha256_b32_first128bits":"RVFV5Z2OI2J3ZUO7ERDEBCYNKS","fingerprint_sha256_hex":"8d4b5ee74e4693bcd1df2446408b0d54","rotates_at":null,"url":"https://pith.science/pith-signing-key.json","notes":"Pith uses this Ed25519 key to sign canonical record SHA-256 digests. Verify with: ed25519_verify(public_key, message=canonical_sha256_bytes, signature=base64decode(signature_b64))."}],"merge_version":"pith-open-graph-merge-v1","built_at":"2026-06-07T07:52:21Z","links":{"resolver":"https://pith.science/pith/UHMBWTK3AY2ZG4FKWZH6B3H2Y4","bundle":"https://pith.science/pith/UHMBWTK3AY2ZG4FKWZH6B3H2Y4/bundle.json","state":"https://pith.science/pith/UHMBWTK3AY2ZG4FKWZH6B3H2Y4/state.json","well_known_bundle":"https://pith.science/.well-known/pith/UHMBWTK3AY2ZG4FKWZH6B3H2Y4/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2012:UHMBWTK3AY2ZG4FKWZH6B3H2Y4","merge_version":"pith-open-graph-merge-v1","event_count":2,"valid_event_count":2,"invalid_event_count":0,"equivocation_count":0,"current":{"canonical_record":{"metadata":{"abstract_canon_sha256":"976de0c40688ff8b5d3f669ad2a7c5701392145d1b52b460cd71dc2a6c75413b","cross_cats_sorted":["math.AG"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.NT","submitted_at":"2012-12-14T06:43:35Z","title_canon_sha256":"41fac528854db520c60008df5c408ff7149792f4e82e473020614b5bce279103"},"schema_version":"1.0","source":{"id":"1212.3399","kind":"arxiv","version":5}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1212.3399","created_at":"2026-05-18T02:54:47Z"},{"alias_kind":"arxiv_version","alias_value":"1212.3399v5","created_at":"2026-05-18T02:54:47Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1212.3399","created_at":"2026-05-18T02:54:47Z"},{"alias_kind":"pith_short_12","alias_value":"UHMBWTK3AY2Z","created_at":"2026-05-18T12:27:23Z"},{"alias_kind":"pith_short_16","alias_value":"UHMBWTK3AY2ZG4FK","created_at":"2026-05-18T12:27:23Z"},{"alias_kind":"pith_short_8","alias_value":"UHMBWTK3","created_at":"2026-05-18T12:27:23Z"}],"graph_snapshots":[{"event_id":"sha256:dc72722d0c53137a1db7d7673d1667fbe9fc754dd0a86ca897db430df42e98ac","target":"graph","created_at":"2026-05-18T02:54:47Z","signer":{"key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signer_id":"pith.science","signer_type":"pith_registry"},"payload":{"graph_snapshot":{"author_claims":{"count":0,"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57","strong_count":0},"builder_version":"pith-number-builder-2026-05-17-v1","claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"formal_canon":{"evidence_count":0,"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"paper":{"abstract_excerpt":"We consider Calabi-Yau threefolds of Borcea-Voisin type over Q. They are constructed from products of K3 surfaces and elliptic curves. We use concrete K3 surfaces and discuss the automorphy of the Galois representations associated to the Calabi-Yau threefolds. The moduli spaces of these Calabi-Yau threefolds are Shimura varieties. Our result shows the existence of a CM point in the moduli space. We also consider mirror symmetry of Calabi-Yau threefolds.","authors_text":"Noriko Yui, Ron Livne, Yasuhiro Goto","cross_cats":["math.AG"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.NT","submitted_at":"2012-12-14T06:43:35Z","title":"Automorphy of Calabi-Yau threefolds of Borcea-Voisin type over Q"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1212.3399","kind":"arxiv","version":5},"verdict":{"created_at":null,"id":null,"model_set":{},"one_line_summary":"","pipeline_version":null,"pith_extraction_headline":"","strongest_claim":"","weakest_assumption":""}},"verdict_id":null}}],"author_attestations":[],"timestamp_anchors":[],"storage_attestations":[],"citation_signatures":[],"replication_records":[],"corrections":[],"mirror_hints":[],"record_created":{"event_id":"sha256:9c670b68b941fb6b0ca62656e92421e0ff03f968cd17fe62bc399cb744e2fcdf","target":"record","created_at":"2026-05-18T02:54:47Z","signer":{"key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signer_id":"pith.science","signer_type":"pith_registry"},"payload":{"attestation_state":"computed","canonical_record":{"metadata":{"abstract_canon_sha256":"976de0c40688ff8b5d3f669ad2a7c5701392145d1b52b460cd71dc2a6c75413b","cross_cats_sorted":["math.AG"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.NT","submitted_at":"2012-12-14T06:43:35Z","title_canon_sha256":"41fac528854db520c60008df5c408ff7149792f4e82e473020614b5bce279103"},"schema_version":"1.0","source":{"id":"1212.3399","kind":"arxiv","version":5}},"canonical_sha256":"a1d81b4d5b06359370aab64fe0ecfac70547d47030878fb41e57062226b913dd","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"a1d81b4d5b06359370aab64fe0ecfac70547d47030878fb41e57062226b913dd","first_computed_at":"2026-05-18T02:54:47.168514Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T02:54:47.168514Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"F+mVlSUm1UGvmnBwvNoSlH7S8VYLDFWs2gtHULMV6nzkM3rLhDUrjRDIBlpE9CZ28I3rxG5j11UN8lg7jiwbAA==","signature_status":"signed_v1","signed_at":"2026-05-18T02:54:47.168892Z","signed_message":"canonical_sha256_bytes"},"source_id":"1212.3399","source_kind":"arxiv","source_version":5}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:9c670b68b941fb6b0ca62656e92421e0ff03f968cd17fe62bc399cb744e2fcdf","sha256:dc72722d0c53137a1db7d7673d1667fbe9fc754dd0a86ca897db430df42e98ac"],"state_sha256":"82130eed219713ca49c8cc70cfdf73d5de91ee6e8ebdfae702c533312850c0b9"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"OXjrIft6xIoPwbfWOB3mYEwoI47WxeA24FnAY50tQlBqpleLmXze2eenm+vyu9NH+VLkI3Jcnfgx5+Z5hbE5BQ==","signed_message":"bundle_sha256_bytes","signed_at":"2026-06-07T07:52:21.899429Z","bundle_sha256":"5a4d02e25c07e0c7de1bea2805129fc3cff561cbb78c646c30dad765c68641e3"}}